/ Va2 – 1 ¢2 – 1 dx

Q: 1 2 3 1+3* Use substitution to find the Taylor series at x= 0 of the function ... 1 What is the…

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Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

Q: sin (xexz +3y5+3x"-x 3

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Q: Given the function f(x) = x2 and the closed interval [0, 1, which of the following is a value of c…

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x-0.25a2 dollars, and producing a…

A: topic - application of derivatives

Q: Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x ,…

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Q: Given that lim f(x) = 9 lim g(x) = -4 x 2 lim h(x) = 0, find each limit, if it exists. (If an answer…

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Q: Find the extrema for F&)= Sin Cx) + cos (x) on the interval [o,E| %3D

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Q: Find div F and curl F if F(x, y, z) = x²i – 7j + yzk. div F= curl F=

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Q: Find div F and curl F if F(x, y, z) = 7y°z®i – 5æ³z10j – 7xy°k. 3„10. div F= curl F=

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Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

Q: y = C,x + C2xlnx is a two-parameter family of solutions of a DE on (0, 0). What would the values of…

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Q: Find the surface area of a sphere at the instant when the rate of increase of the volume of the…

A: Topic:- application of derivatives

Q: The height of a right circular cone is always three times the radius. Find the volume of the cone at…

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Q: 1 On which of the following interval is f(x) = continuous? - O [2, +0) O (2, +) O (-00, +0) O (0,…

A: Given,  f(x)= 1/sqrt(x-2)

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Find the area oF the regioN eNclosed between the curves de Fived by the equations y =Vx +2, y: x,…

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Q: 19. What is the seсond derivative of y бх* - 3x1 + х2 -57 а. у 24х1 — 9х2 + 2х b. у"3 144х — 18 с.…

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Q: The sum of digits of integer x is y . the sum of digits of y is z. find x if x+y+z = 60 step by…

A: Here we know that x,y,z are two-digit numbers since their sum is 60 and any two-digit number can be…

Q: 1 dx Vx - Vx 3

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Q: Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a…

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Q: Evaluate F. dr. F(x, y) = xi + yi C: r(t) = (3t + 4)i + tj, Ostsi

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Q: Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

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Q: Of all rectangles with a perimeter of lo meters, which one has the maximum area? (GIve both the…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: For the function g whose graph is given, state the following. (If the answer is positive infinite,…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. %3D div F= curl F=

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Q: _13. If y = sin(4x – 5), then what is y'? а. у'3 сos (4x -5) b. у'- 4cos (4x — 5) c. y' = -cos (4x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ||r(t) x r"(t)|| Use the formula k(t) = to find k(t). ||r"(t)||° r(t) = t'i+ t°j K(t) =L

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Q: t"(x) If t(x) = Vx find t'(x)' O -1/2x O 2x 1/2x -2x O None of these

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Q: Find the equation of the tangent line to the graph of y = -2x° + 6x? – 5x + 10 at the point (1,5) in…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

Q: Find the center and radius of the sphere that has (7, –6, 2) and (9, 12, –6) as endpoints of a…

A: The objective of the question is evaluate the center and radius of the circle

Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

Q: Qu= O.4 log (E+0.44 435 %3D Qa - 0.249(log Ea)-O.I77 Q8= 0.227 (log E3)-0.839 Q3= rearange equations…

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Q: Find a particular solution to the DE: y"+ 3y' – 4y = e* xe B. Yp = C. Yp = x²e* D. y, = xe-x E. None…

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Q: Find y': y = /5+ 2x – x² - 1-x O y = V5+2x-a2 1 O y = 2/5+2x-a2 7-2x O y = 2/5+2x-a²2 O y = /2 – 2x

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Q: Use Stokes' Theorem to evaluate curl F· ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

Q: A water tank is in the shape of an inverted cone. The height of the cone is 10 meters and the…

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Q: Write an integral that will give the area of the region in terms of dx (b) Write the integrals (do…

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Q: Describe the graph of the equation. r = 10 cos ti + 8 sin tj – k O It is an ellipse in the z = – 1…

A: Given that       r = 10 cost i + 8 sint j - k

Q: What is the radius of curvature at point (1, 2) of the curve 4x – y2 = 0.

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Q: A ball is thrown upward from a height of 9.1 m at an initial speed of 42 m/sec. Acceleration…

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Q: Evaluate the line integral / (4x + 8y)d.x + (4x – 9y)dy along the curve C : x = 10 cos t, y = 20…

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Q: dx 3-x

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Q: Find all the values of x where the tangent line to the function f(x) = x° - 8x - 6x +2 is…

A: For horizontal tangent line dydx=0 Given :

Q: 11. Use the guideline in §4.4 to sketch the curve: f(x) = x² ln x. A). Domain, Symmetry, Asymptotes,…

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Q: II. Use the first fundamental theorem of calculus to find F'(x) .Write your final answer on the box.…

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Q: cOs x dx sin² x+ 2 sin x+5

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